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5612102496 = 2535721113103
BaseRepresentation
bin1010011101000000…
…11110001101100000
3112111010011100100000
411032200132031200
542443144234441
62324514500000
7256034040600
oct51640361540
915433140300
105612102496
11241a981740
121107594600
136b5904010
143b34b8c00
1522ca652b6
hex14e81e360

5612102496 has 864 divisors, whose sum is σ = 22838070528. Its totient is φ = 1332495360.

The previous prime is 5612102491. The next prime is 5612102521. The reversal of 5612102496 is 6942012165.

5612102496 is a `hidden beast` number, since 5 + 61 + 2 + 102 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5612102496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5612102491) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 54486381 + ... + 54486483.

It is an arithmetic number, because the mean of its divisors is an integer number (26432952).

Almost surely, 25612102496 is an apocalyptic number.

5612102496 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5612102496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11419035264).

5612102496 is an abundant number, since it is smaller than the sum of its proper divisors (17225968032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5612102496 is a wasteful number, since it uses less digits than its factorization.

5612102496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5612102496 is about 74913.9672958254. The cubic root of 5612102496 is about 1777.0863514305.

The spelling of 5612102496 in words is "five billion, six hundred twelve million, one hundred two thousand, four hundred ninety-six".